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Finding the Fourth Proportional to 4,738.99, 7,108.22 and 1,452.09

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Solution

The fourth proportional to 4,738.99, 7,108.22 and 1,452.09 is: 2,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.99 : 7,108.22 = 1,452.09 : x
  2. Step 2: Convert to fraction form
    4,738.99/7,108.22 = 1,452.09/x
  3. Step 3: Cross multiply
    4,738.99x = 7,108.22 × 1,452.09
  4. Step 4: Simplify right side
    4,738.99x = 10,321,762.35
  5. Step 5: Solve for x
    x = 10,321,762.35/4,738.99
  6. Step 6: Final answer
    x = 2,178.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.